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A note on convergence of sequences of functions

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Abstract In this paper new types of convergence of sequences of functions, called semi-α and semi uniform, are defined and studied. Also the notion of semi exhaustiveness is introduced. This… Click to show full abstract

Abstract In this paper new types of convergence of sequences of functions, called semi-α and semi uniform, are defined and studied. Also the notion of semi exhaustiveness is introduced. This new notion describes the relation between pointwise convergence, semi-α convergence, pointwise convergence and semi uniform convergence for sequences of functions. Finally, relations between α-convergence, equal convergence and uniform equal convergence are studied.

Keywords: sequences functions; semi; convergence sequences; topology; note convergence; convergence

Journal Title: Topology and its Applications
Year Published: 2020

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